scipy.special.pbwa¶
-
scipy.special.
pbwa
(a, x) = <ufunc 'pbwa'>¶ Parabolic cylinder function W.
The function is a particular solution to the differential equation
\[y'' + \left(\frac{1}{4}x^2 - a\right)y = 0,\]for a full definition see section 12.14 in [1].
- Parameters
- aarray_like
Real parameter
- xarray_like
Real argument
- Returns
- wscalar or ndarray
Value of the function
- wpscalar or ndarray
Value of the derivative in x
Notes
The function is a wrapper for a Fortran routine by Zhang and Jin [2]. The implementation is accurate only for
|a|, |x| < 5
and returns NaN outside that range.References
- 1(1,2)
Digital Library of Mathematical Functions, 14.30. https://dlmf.nist.gov/14.30
- 2(1,2)
Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996. https://people.sc.fsu.edu/~jburkardt/f_src/special_functions/special_functions.html